Two angle of a quadrilateral measure 140 and 80. the other two angels are in a ratio of 3:4. what is the value of x? what are the measures of those two angles?

Step-by-step explanation:

Ratio = 3x : 4x

Sum of angle of a quadrilateral = 360

Therefore, 140+80+3x+4x = 360

220+7x = 360

7x = 360-220

x = 140/7

=20

3x = 3*20=60

4x=4*20=80

60° and 80°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Given 2 angles in ratio 3 : 4 = 3x : 4x (x is a multiplier)

Sum the 4 angles and equate to 360

140 + 80 + 3x + 4x = 360, that is

220 + 7x = 360 (subtract 220 from both sides)

7x = 140 (divide both sides by 7)

x = 20

Thus

3x = 3 * 20 = 60° and 4x = 4 * 20 = 80°